2.07/1.54	WORST_CASE(?, O(n^1))
2.07/1.55	proof of /export/starexec/sandbox2/output/output_files/bench.koat
2.07/1.55	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.07/1.55	
2.07/1.55	
2.07/1.55	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.07/1.55	
2.07/1.55	(0) CpxIntTrs
2.07/1.55	(1) Koat Proof [FINISHED, 278 ms]
2.07/1.55	(2) BOUNDS(1, n^1)
2.07/1.55	
2.07/1.55	
2.07/1.55	----------------------------------------
2.07/1.55	
2.07/1.55	(0)
2.07/1.55	Obligation:
2.07/1.55	Complexity Int TRS consisting of the following rules:
2.07/1.55	eval_foo_start(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: TRUE
2.07/1.55	eval_foo_bb0_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb1_in(v_n, 0, v_m, v_n, v_v1, v_v2)) :|: v_n >= 0 && v_m > 0
2.07/1.55	eval_foo_bb0_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: v_n < 0
2.07/1.55	eval_foo_bb0_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: v_m <= 0
2.07/1.55	eval_foo_bb1_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: v_.0 > 0
2.07/1.55	eval_foo_bb1_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: v_.0 <= 0
2.07/1.55	eval_foo_bb2_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: v_.01 < v_m
2.07/1.55	eval_foo_bb2_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb1_in(v_.0, 0, v_m, v_n, v_v1, v_v2)) :|: v_.01 >= v_m
2.07/1.55	eval_foo_bb3_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01 + 1, v_m, v_n, v_v1, v_v2)) :|: TRUE
2.07/1.55	eval_foo_bb4_in(v_.0, v_.01, v_m, v_n, v_v1, v_v2) -> Com_1(eval_foo_stop(v_.0, v_.01, v_m, v_n, v_v1, v_v2)) :|: TRUE
2.07/1.55	
2.07/1.55	The start-symbols are:[eval_foo_start_6]
2.07/1.55	
2.07/1.55	
2.07/1.55	----------------------------------------
2.07/1.55	
2.07/1.55	(1) Koat Proof (FINISHED)
2.07/1.55	YES(?, 20*ar_0 + 12)
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	Initial complexity problem:
2.07/1.55	
2.07/1.55	1:	T:
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.07/1.55	
2.07/1.55		start location:	koat_start
2.07/1.55	
2.07/1.55		leaf cost:	0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.07/1.55	
2.07/1.55	2:	T:
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.07/1.55	
2.07/1.55		start location:	koat_start
2.07/1.55	
2.07/1.55		leaf cost:	0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	A polynomial rank function with
2.07/1.55	
2.07/1.55		Pol(evalfoostart) = 2
2.07/1.55	
2.07/1.55		Pol(evalfoobb0in) = 2
2.07/1.55	
2.07/1.55		Pol(evalfoobb1in) = 2
2.07/1.55	
2.07/1.55		Pol(evalfoobb4in) = 1
2.07/1.55	
2.07/1.55		Pol(evalfoobb2in) = 2
2.07/1.55	
2.07/1.55		Pol(evalfoobb3in) = 2
2.07/1.55	
2.07/1.55		Pol(evalfoostop) = 0
2.07/1.55	
2.07/1.55		Pol(koat_start) = 2
2.07/1.55	
2.07/1.55	orients all transitions weakly and the transitions
2.07/1.55	
2.07/1.55		evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55		evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55	strictly and produces the following problem:
2.07/1.55	
2.07/1.55	3:	T:
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.07/1.55	
2.07/1.55		start location:	koat_start
2.07/1.55	
2.07/1.55		leaf cost:	0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.07/1.55	
2.07/1.55	  For symbol evalfoobb1in: X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.07/1.55	
2.07/1.55	  For symbol evalfoobb2in: X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0
2.07/1.55	
2.07/1.55	  For symbol evalfoobb3in: X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	This yielded the following problem:
2.07/1.55	
2.07/1.55	4:	T:
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55		start location:	koat_start
2.07/1.55	
2.07/1.55		leaf cost:	0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	A polynomial rank function with
2.07/1.55	
2.07/1.55		Pol(evalfoobb3in) = 5*V_3 + 2*V_4 - 1
2.07/1.55	
2.07/1.55		Pol(evalfoobb1in) = 5*V_3 + 2*V_4 + 1
2.07/1.55	
2.07/1.55		Pol(evalfoobb2in) = 5*V_3 + 2*V_4
2.07/1.55	
2.07/1.55	and size complexities
2.07/1.55	
2.07/1.55		S("evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.07/1.55	
2.07/1.55		S("evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-2) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-3) = 0
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ar_2
2.07/1.55	
2.07/1.55		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ar_3
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-2) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-3) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-2) = 0
2.07/1.55	
2.07/1.55		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-3) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-2) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-3) = 0
2.07/1.55	
2.07/1.55		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.07/1.55	
2.07/1.55		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_1 + ar_3
2.07/1.55	
2.07/1.55		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.07/1.55	
2.07/1.55		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.07/1.55	
2.07/1.55		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.07/1.55	
2.07/1.55		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.07/1.55	
2.07/1.55	orients the transitions
2.07/1.55	
2.07/1.55		evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.07/1.55	
2.07/1.55		evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55		evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55		evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55	weakly and the transitions
2.07/1.55	
2.07/1.55		evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.07/1.55	
2.07/1.55		evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55		evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55		evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55	strictly and produces the following problem:
2.07/1.55	
2.07/1.55	5:	T:
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)             evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55			(Comp: 5*ar_0 + 1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.07/1.55	
2.07/1.55			(Comp: 5*ar_0 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: 5*ar_0 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 2, Cost: 1)             evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 ]
2.07/1.55	
2.07/1.55			(Comp: 5*ar_0 + 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)             evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.07/1.55	
2.07/1.55			(Comp: 1, Cost: 1)             evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3))
2.07/1.55	
2.07/1.55		start location:	koat_start
2.07/1.55	
2.07/1.55		leaf cost:	0
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	Complexity upper bound 20*ar_0 + 12
2.07/1.55	
2.07/1.55	
2.07/1.55	
2.07/1.55	Time: 0.281 sec (SMT: 0.229 sec)
2.07/1.55	
2.07/1.55	
2.07/1.55	----------------------------------------
2.07/1.55	
2.07/1.55	(2)
2.07/1.55	BOUNDS(1, n^1)
2.07/1.56	EOF